Atkin-Lehner |
2- 3+ 5+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
49350bl |
Isogeny class |
Conductor |
49350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-5181750000 = -1 · 24 · 32 · 56 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 2 4 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-13,-3469] |
[a1,a2,a3,a4,a6] |
Generators |
[29:132:1] |
Generators of the group modulo torsion |
j |
-15625/331632 |
j-invariant |
L |
8.16120715672 |
L(r)(E,1)/r! |
Ω |
0.62073933978277 |
Real period |
R |
1.643444887745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1974b1 |
Quadratic twists by: 5 |